Метод 1: использование вспомогательной матрицы

#include <iostream>
const int MAX_SIZE = 100;
void transposeMatrix(int matrix[MAX_SIZE][MAX_SIZE], int rows, int columns) {
    int transpose[MAX_SIZE][MAX_SIZE];

    for (int i = 0; i < rows; i++) {
        for (int j = 0; j < columns; j++) {
            transpose[j][i] = matrix[i][j];
        }
    }
// Printing the transpose matrix
    std::cout << "Transpose of the matrix:\n";
    for (int i = 0; i < columns; i++) {
        for (int j = 0; j < rows; j++) {
            std::cout << transpose[i][j] << " ";
        }
        std::cout << "\n";
    }
}
int main() {
    int matrix[MAX_SIZE][MAX_SIZE];
    int rows, columns;
    std::cout << "Enter the number of rows in the matrix: ";
    std::cin >> rows;
    std::cout << "Enter the number of columns in the matrix: ";
    std::cin >> columns;
    std::cout << "Enter the elements of the matrix:\n";
    for (int i = 0; i < rows; i++) {
        for (int j = 0; j < columns; j++) {
            std::cin >> matrix[i][j];
        }
    }
    transposeMatrix(matrix, rows, columns);
    return 0;
}

Метод 2: транспонирование на месте

#include <iostream>
const int MAX_SIZE = 100;
void transposeMatrix(int matrix[MAX_SIZE][MAX_SIZE], int rows, int columns) {
    for (int i = 0; i < rows; i++) {
        for (int j = i + 1; j < columns; j++) {
            std::swap(matrix[i][j], matrix[j][i]);
        }
    }
// Printing the transpose matrix
    std::cout << "Transpose of the matrix:\n";
    for (int i = 0; i < columns; i++) {
        for (int j = 0; j < rows; j++) {
            std::cout << matrix[i][j] << " ";
        }
        std::cout << "\n";
    }
}
int main() {
    int matrix[MAX_SIZE][MAX_SIZE];
    int rows, columns;
    std::cout << "Enter the number of rows in the matrix: ";
    std::cin >> rows;
    std::cout << "Enter the number of columns in the matrix: ";
    std::cin >> columns;
    std::cout << "Enter the elements of the matrix:\n";
    for (int i = 0; i < rows; i++) {
        for (int j = 0; j < columns; j++) {
            std::cin >> matrix[i][j];
        }
    }
    transposeMatrix(matrix, rows, columns);
    return 0;
}